86448 has 20 divisors (see below), whose sum is σ = 223448. Its totient is φ = 28800.

The previous prime is 86441. The next prime is 86453. The reversal of 86448 is 84468.

86448 is nontrivially palindromic in base 7.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (86441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 853 + ... + 948.

2⁸⁶⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

86448 is an abundant number, since it is smaller than the sum of its proper divisors (137000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111724).

86448 is a wasteful number, since it uses less digits than its factorization.

86448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 86448 is about 294.0204074550. The cubic root of 86448 is about 44.2165632048.

The spelling of 86448 in words is "eighty-six thousand, four hundred forty-eight".